TSTP Solution File: SYN724-1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 01:47:07 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Aug 26 17:43:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 % File : SYN724-1 : TPTP v8.1.2. Released v2.5.0.
% 0.19/0.61 % Domain : Syntactic
% 0.19/0.61 % Problem : Peter Andrews Problem THM31
% 0.19/0.61 % Version : Especial.
% 0.19/0.61 % English :
% 0.19/0.61
% 0.19/0.61 % Refs : [And97] Andrews (1994), Email to G. Sutcliffe
% 0.19/0.61 % Source : [And97]
% 0.19/0.61 % Names : THM31 [And97]
% 0.19/0.61
% 0.19/0.61 % Status : Unsatisfiable
% 0.19/0.61 % Rating : 0.00 v2.5.0
% 0.19/0.61 % Syntax : Number of clauses : 5 ( 0 unt; 1 nHn; 5 RR)
% 0.19/0.61 % Number of literals : 12 ( 0 equ; 7 neg)
% 0.19/0.61 % Maximal clause size : 3 ( 2 avg)
% 0.19/0.61 % Maximal term depth : 1 ( 1 avg)
% 0.19/0.61 % Number of predicates : 2 ( 2 usr; 0 prp; 1-1 aty)
% 0.19/0.61 % Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.19/0.61 % Number of variables : 1 ( 0 sgn)
% 0.19/0.61 % SPC : CNF_UNS_EPR_NEQ_NHN
% 0.19/0.61
% 0.19/0.61 % Comments :
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 cnf(thm31_3,negated_conjecture,
% 0.19/0.61 ( s(A)
% 0.19/0.61 | ~ r(A) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(thm31_4,negated_conjecture,
% 0.19/0.61 ( r(sk1)
% 0.19/0.61 | r(sk2) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(thm31_9,negated_conjecture,
% 0.19/0.61 ( r(sk1)
% 0.19/0.61 | ~ r(sk2)
% 0.19/0.61 | ~ s(sk2) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(thm31_10,negated_conjecture,
% 0.19/0.61 ( r(sk2)
% 0.19/0.61 | ~ s(sk1) ) ).
% 0.19/0.61
% 0.19/0.61 cnf(thm31_15,negated_conjecture,
% 0.19/0.61 ( ~ r(sk2)
% 0.19/0.61 | ~ s(sk1)
% 0.19/0.61 | ~ s(sk2) ) ).
% 0.19/0.61
% 0.19/0.61 %--------------------------------------------------------------------------
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % Proof found
% 0.19/0.61 % SZS status Theorem for theBenchmark
% 0.19/0.61 % SZS output start Proof
% 0.19/0.61 %ClaNum:5(EqnAxiom:0)
% 0.19/0.61 %VarNum:2(SingletonVarNum:1)
% 0.19/0.61 %MaxLitNum:3
% 0.19/0.61 %MaxfuncDepth:0
% 0.19/0.61 %SharedTerms:7
% 0.19/0.61 %goalClause: 1 2 3 4 5
% 0.19/0.61 [1]P1(a1)+P1(a2)
% 0.19/0.61 [2]P1(a2)+~P2(a1)
% 0.19/0.61 [3]~P1(x31)+P2(x31)
% 0.19/0.61 [4]P1(a1)+~P2(a2)+~P1(a2)
% 0.19/0.61 [5]~P2(a1)+~P2(a2)+~P1(a2)
% 0.19/0.61 %EqnAxiom
% 0.19/0.61
% 0.19/0.61 %-------------------------------------------
% 0.19/0.62 cnf(6,plain,
% 0.19/0.62 (P2(a1)+P1(a2)),
% 0.19/0.62 inference(scs_inference,[],[1,3])).
% 0.19/0.62 cnf(7,plain,
% 0.19/0.62 (P2(a2)+~P2(a1)),
% 0.19/0.62 inference(scs_inference,[],[2,3])).
% 0.19/0.62 cnf(8,plain,
% 0.19/0.62 (P1(a2)+P2(a2)),
% 0.19/0.62 inference(scs_inference,[],[6,7])).
% 0.19/0.62 cnf(9,plain,
% 0.19/0.62 (P2(a2)),
% 0.19/0.62 inference(scs_inference,[],[8,3])).
% 0.19/0.62 cnf(10,plain,
% 0.19/0.62 (P1(a1)+~P1(a2)),
% 0.19/0.62 inference(scs_inference,[],[9,4])).
% 0.19/0.62 cnf(11,plain,
% 0.19/0.62 (~P2(a1)+~P1(a2)),
% 0.19/0.62 inference(scs_inference,[],[9,5])).
% 0.19/0.62 cnf(12,plain,
% 0.19/0.62 (P1(a1)),
% 0.19/0.62 inference(scs_inference,[],[10,1])).
% 0.19/0.62 cnf(16,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[12,3,2,11]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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